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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004813643047 5,901 digits created 2023-10-24

Value

132758008600718914047792014227388508790282993876721869025096325274704847125569536414559398386778971809461920982099979112350728091262817146520537340512659276650114602500557773484231795623450745606323320908911162131721663473581876493634119594205065847948220755609229707271452250565291948147800575155075184192006821236274659026535608937046427989039990918162987408944310953610065466106224739298869794271227231253101314277304959851196689057935283306294713595331442024020563494736347654355514128506755770309800487310901840770247669811454892094367547663411372607502556526024996241915880956101411623915721603484313814936625006390654223822409130899844289598487956363712932890459974145554182248925809085440455663530338677894600485280711596494069731484229854298372856567247124898137800522011679545771327337347093831423737992326402259226214824082468215826750367514402982188940565463869378589763531417991353209415282850767699061234494045669477752156502918514055080546574742766770615912840996951582916438348142468454845055735700293943704638473901109656834018354307513678310787525336601424468311211034700376801115643801514528385372464742174381448788687589083089312990482210244549003981034338961365162521863179830690363517179716584456669622858747008122136371128052452691408920327844589732365187662275341109798029157219522571500683076983359906903110929196917651080700019238143662795016291788106522859134098953114797559229670099242811746737460762029432481686707054892210089643406361354517157662672994143394096462252630025354652702775027931636372136546472105966395309100769064721666040461545696988388133544320428553967880565741111038265301824338000013971943078224946044296350896329006620708107840234213924493601038279631121430138230009389956103345034059185247717263596482682748893215546065252067359939737979512203564271234120555440274184697299929152275761915716486855467232952957956317250904027560039177119521419616108618676327651541941516360569043463971071164400190192779406593449646808987046633702075087532125133415141624208277016000811914968295346463761070120742186120097074206619367693402420382687981448141352850988533285828493155032646693158373332348604336656348452299231324037424883388433616034929148705308056304310430997942014418444064903207706825865636565924955971733984523476680224730814037710457286365311838969794068766367824398505246114450570990443546590864035413421241819419123719682700289664492959521157652730884273769400204689856346514473505150720720151411464611259392085651345123675387968339152216733004996680840343393475583346076644863853684189943573640616938287502828493381175706639648752685214435211411628075286427597759780380332509443383085924988178094050845396602897596228027967447219090583154964428348658653908282559227142132163281440192535175860638612911486902103064544009418772203958054245506753377876839832703366502734405064824293745587632160334230962354967951043242855076334224918344115038542528296919384900257803300544903889335020006881786173291117070103337727885024990057529971415200609893414938047832087673457404993455433391763732687555883657592001184622241597942257990757273802392954950381941344217368305020653490448479089795776536741698763182517255001301156441063893026169004289510283958394154347253926889549908258061447781911970941439638727248656344355921358199538714974943896340938845879012065131661262467088565304268645794374348686816269427094746485716172326070247009063053773405483733698868017538961737472435794862523831439403958819357393519961543440937962477041362772816397934381913881218338821029930620658661686261292910871769943727587322055966493977282673788009114163405123681465871509762551897845213462108067158132925940891982202070862041987228444607860148551683641035651154482777655100684599452574536636476053203112240565340608769496818473140013949467891309075775511385335433279302546850228279902163438632062941581038710177449754440370975353990592072530198212111445489097499245675408601957246463938734524616108427139013668299004911824615153880869329501463959166953176265342628120884376490341092783279519622226624957118612458090207896641416481331229166965231388753162029760445988174921962097079394076108211897919806708160861267217988089081800600901464851404110590039699267549453492202307571512336142958926101561837981383037388351940318490578452056598926304513301888445857351864125821352630093165940489017534816463585581525918054910170895735446231033526910674220092363048231400080051760079559272082301708529023265038535004403583411716247934656464559530299565958436357969911328064200693416011923112297515076038704280360028966899516494862765953910301073236018111201763984218645911153332624162003350914676579616419469403138029746080077128411982757011050792560653998619865004123578422306722088299521896633028227015825751091316734304970335564542811117983238060070070556037419017877382066018259434501818036971056483494145574192649310906156690185014688984826523659663151473962302787522009320642555487346127654019544712151041379891423663363924519052394319540502682766328033973833234018326428094336025317039061224688153417925469548866032897993504267211110793070384205444681780058256755096661879729093434082776228937016552200572744959940282750955748889570553340182278433153091254920585990906409605017558034873139015854866407500223339371907620356176754712332418595221134227528249762649889473659768578577996187841345076408115322826965958972992142056659082658352668992021603574498357134732248439418653989188279746684410932959345555266396125378903301899048177934068944170357791401979206962807031512040887765031042657338549367335673880978445571232842543264452019654243808054897527580563160023240269612841235376256164552612158481576202111253647245103982060124005640239009013952280874509318783648759271656883973312770880335952627384191225280403059948385552869200569355474839154396667179862774736508700855002625674297011619163330528353380608317777789406325410043591058856275643631353674971993301458657
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 6,206-digit prime (621 intermediate primes).

Certified number6,206-digit prime
Certificatedownload
Certificate chainshow step 27 of 621

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813643047 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004813643047},"decimal":true,"detail":2}}'